A tree of unknown height casts a shadow that is 18 feet long. If a person that is 5 ft 7 in casts a shadow that is 4 ft long, then how tall is the tree in feet?

Round your answer to the nearest integer. Do not include feet in your answer.

Answers

Answer 1

Answer:

25.

Step-by-step explanation:

5 ft 7 in = 5.583 ft.

We have 2 similar triangles here.

If h is the height of the tree, then:

h / 5.583 = 18/4

h = 18*5.583/4

h = 25.12 ft

Answer 2

The height of the tree is approximately 25.12 feet.

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

The ratio of the shadow lengths is equal to the ratio of the object heights.

In other words, if we let H be the height of the tree in feet and h be the height of the person in feet, we have:

H/h = 18/4

We can find h by converting the person's height to feet. Since 1 inch is equal to 1/12 foot, the person's height in feet is 5 + 7/12 = 5.58 feet.

Substituting this value into the equation above and solving for H, we get:

H = (18/4) x 5.58 feet

= 25.12 feet

Therefore, the tree is around 25.12 feet tall.

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Related Questions

Riley is saving up to buy a new television. She needs a total of $966.42. Riley has saved $200.92 already and earns $76.55 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television

Answers

Answer:

10 weeks

Step-by-step explanation:

76.55x+200.92=966.42

76.55x=966.42-200.92

76.55x=765.5

x=765.5/76.55

10

help me please please​

Answers

Answer:

17/18

Step-by-step explanation:

To add fractions, you need to have common denominators. (4/9)*(2/2)=8/18.

Now that they have common denominators, you can add 8 and 9 to get 17. So, the answer would be the second one, 17/18.

Answer:

r u just cheating ur way through a whole test lol

Step-by-step explanation:

its B or 17/18

hlep me plsssssssssssssssssssssssss

Answers

C,
{(-1, -3),(0,-1),(1,1),(2,3),(3,5)}

Answer:

B.

Step-by-step explanation:

It is not A because it does not make sense and does not match up.

It Is not C because that is just points and it is asking for a function.

D is wrong.

So It is B.

Here is the graph for B. It matches up.

[tex]\mathrm{Axis\:interception\:points\:of}\:2x-1:\quad \mathrm{X\:Intercepts}:\:\left(\frac{1}{2},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:-1\right)[/tex]

[tex]\mathrm{Slope\:of\:}2x-1:\quad m=2[/tex]

Aarón rides his bike away from home at a constant speed he stops at the park for a while before riding back home at a constant speed

Answers

Answer:

Step-by-step explanation: This is the answer

how do i do math in division fractions?

Answers

Answer:

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

Answer:

Keep change flip!

Step-by-step explanation:

Example 1/2 divided 3/4

We simply keep 1/2 and then we flip the 3/4 which is now 4/3

now we also flip the division sign which its opposite is multiplying now its simply 1/2 x 4/3 and you get 4/6.  Hope this helps please mark brainliest!

What is the diameter of circle 0?

Answers

Answer:

8

Step-by-step explanation:

diameter is the radius times 2

Sammy's Chipmunk & Squirrel Observations
For a science project, Sammy observed a chipmunk and a squirrel stashing
acorns in holes. The chipmunk hid 3 acorns in each of the holes it dug. The
squirrel hid 4 acorns in each of the holes it dug. They each hid the same number
of acorns, although the squirrel needed 4 fewer holes. How many acorns did the
chipmunk hide?

Answers

Answer:12 accorns

Step-by-step explanation:

If they each hid the same number of acorns, although the squirrel needed 4 fewer holes, the chipmunk hid 3 acorns in each hole

Let's assume the number of holes the chipmunk dug is 'c', and the number of acorns it hid in each hole is 'x'. Similarly, let's assume the number of holes the squirrel dug is 's', and the number of acorns it hid in each hole is 'y'.

According to the information provided, the chipmunk hid 3 acorns in each of the holes it dug, so x = 3. The squirrel hid 4 acorns in each of the holes it dug, so y = 4.

Both the chipmunk and squirrel hid the same number of acorns, so cx = sy.

Also, the squirrel needed 4 fewer holes, so s = c - 4.

Now, we can use the information to set up a system of equations:

cx = sy

c - 4 = s

Substitute the value of s from the second equation into the first equation:

c(c - 4) = 3(c - 4)

Expand the equation:

c² - 4c = 3c - 12

Now, bring all terms to one side of the equation:

c² - 4c - 3c + 12 = 0

Combine like terms:

c² - 7c + 12 = 0

Now, factor the quadratic equation:

(c - 3)(c - 4) = 0

Now, set each factor to zero and solve for 'c':

c - 3 = 0 => c = 3

c - 4 = 0 => c = 4

Since the chipmunk hid 3 acorns in each hole, the correct answer is The chipmunk hid 3 acorns.

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Use green’s theorem to evaluate

Answers

By Green's theorem (all the conditions are met), we have

[tex]\displaystyle \int_C \sqrt y \, dx + \sqrt x \, dy = \iint_D \frac{\partial(\sqrt x)}{\partial x} - \frac{\partial(\sqrt y)}{\partial y} \, dx \, dy[/tex]

where D is the interior of the path C, or the set

[tex]D = \left\{ (x, y) : 0 \le y \le \dfrac{x^2}2 \text{ and } 0 \le x \le 2 \right\}[/tex]

So, the line integral reduces to the double integral,

[tex]\displaystyle \frac12 \int_0^2 \int_0^{\frac{x^2}2} x^{-\frac12} - y^{-\frac12} \, dy \, dx[/tex]

[tex]\displaystyle = \frac12 \int_0^2 x^{-\frac12}\left(\frac{x^2}2\right) - 2\left(\frac{x^2}2\right)^{\frac12} \, dx[/tex]

[tex]\displaystyle = \frac12 \int_0^2 \frac12 x^{\frac32} - \sqrt 2 \, x \, dx[/tex]

[tex]\displaystyle = \frac14 \int_0^2 x^{\frac32} - 2\sqrt 2 \, x \, dx[/tex]

[tex]\displaystyle = \frac14 \left(\frac25\cdot2^{\frac52} - \sqrt2\cdot2^2\right) = \boxed{-\frac{3\sqrt2}5}[/tex]

Salaar, Waleed and Muazzam share $ 256. Waleed;s share is four times as much as Salaar. And Salaar's share is one-third of muazzam's. How much is each of their share?​

Answers

Answer:

S 32, W 128, M 96

Step-by-step explanation:

W = 4S

S = 1/3M, or 3S = M

S + W + M = 256

Substitute

S + 4S + 3S = 256

8S = 256, S = 32

S = 32

W = 4S = 128

M = 3S = 96

Which inequality matches the graph? A)x >4.B)x < 4.C)x = 4.D)x >_ 4 the line is at bottom of it for d

Answers

Answer: D

Step-by-step explanation: less than or equal to 4. graph leads to negative

Suppose a special discount makes the price of Nike air max shoes 10% lower. As result, there is a 20% increase in the quantity demanded for the shoes, which statement is correct ____?

Answers

It is evident from the problem statement that an overall price reduction of Nike air max shoes will lead to an increase in the demand for the shoe.

In Economics,  the relationship between price and demand is stated as follows "If all other factors remain equal, the higher the price of a good, the fewer people will demand that good. In other words, the higher the price, the lower the quantity demanded and vice versa."

In all, the Law of Demand tells us that if more people want to buy something, given a limited supply, the price of that thing will be bid higher, also of the price of something is low the demand will be high.

learn more:

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Angle wxz is congruent to angle zxy. Find the value of X

Answers

Answer:

  x = 18

Step-by-step explanation:

Congruent angles have equal measures.

  74° = (4x +2)°

  72 = 4x . . . . . . divide by °, subtract 2

  18 = x . . . . . . .  divide by 4

25. Solve for x:
4x-3/2=5/3

Answers

Answer:

X = 19/24

Step-by-step explanation:

Move the constant: 4x = 5/3 + 3/2

Add The Fractions: 5/3 + 3/2 = 19/6

Divide Both sides by 4: 4x/4 = 0. 19/6 ÷ 4 = 19/24

need help solving this

Answers

Answer:

x ≈ 41.6°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{JK}{KL}[/tex] = [tex]\frac{80}{90}[/tex] = [tex]\frac{8}{9}[/tex] , then

x = [tex]tan^{-1}[/tex] ( [tex]\frac{8}{9}[/tex] ) ≈ 41.6° ( to the nearest tenth )

Two parallel lines are cut by a transversal, as shown below. Solve for b. Then explain your reasoning.

Answers

Answer:

b = 14

Step-by-step explanation:

Since both angles are diagonal each other, they are equal to each other.

5b = b + 56

-b      -b           (subtract b from both sides)

4b = 56

4       4            (divide both sides by 4 to solve for b)

 b = 14

pls help me, pls pls plss help​

Answers

Answer:

1. given

2. inscribed circle theorem

3. substitution

4. definition of congruent angles

factor this polynomial completely x^2-10x+25

Answers

x^2-10x+25

=x^2-5x-5x+25

x(x-5)-5(x-5)

=(x-5)(x-5)

x=5 , x=5

hope it's helpful to you

[tex]x^2 -10x +25\\\\=x^2 -2 \cdot 5 \cdot x +5^2\\\\=(x-5)^2\\\\=(x-5)(x-5)[/tex]

A rule for creating a pattern is given below.
Rule: Subtract 7 from 2 to get y.
Which ordered pair, (x, y), works for the rule?

Answers

Answer:

(any real number, 5)

Step-by-step explanation:

Well given that y=7-2 and that y=5, we do not know the value of x, therefore x could be any real number with y being 5. I'm pretty sure that answered your question. So, a example of an ordered pair that would fit this rule would be say (5,5) or (7,5)

In a survey of 1900 people who owned a certain type of​ car, 1140 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

60% of the people surveyed were satisfied with the car

Step-by-step explanation:

1140 satisfied people / 1900 total people = 0.60 = 60% satisfied people

Genes are sections of DNA that code for a particular trait. Genes are?

Answers

Answer:

Genes are DNA transferred to off spring by parents

Answer:

Genes are sections of DNA that code for a particular trait. Genes are nucleic acids.

Step-by-step explanation:

Hassan made a vegetable salad with 2 3/8 pounds of tomatoes, 1 1/4 pounds of asparagus, and 2 7/8 pounds of potatoes. How many pounds of vegetables did he use altogether?
Btw please show work.

Answers

Step-by-step explanation:

OK so

Tomatoes = 2 3/8 = 19/8 (turned into improper fraction)

Asparagus = 1 1/4 =5/4

Potatoes = 2 7/8 = 23/8

Total vegetables used =

19/8 + 5/4 + 23/8 = 42/8 + 5/4 = 42+10/8 =52/8

Answer is 52/8 = 6.5

Answer : 52/8 pounds were used altogether

See picture for solution.

What does Point P on the number line represent? (Use the hyphen for negative numbers, such as −9)

Number line from negative 8 to positive 10 in increments of 1 is shown. Only the even numbers are labeled. A point labeled P is placed at the third tick mark to the left of 0.

(5 points)

Answers

Answer:

P = -3, each line in the negative direction is 1 number

so you would have -1, -2, -3 , -4, etc.

P is on the -3 line.

See attached picture.

Step-by-step explanation:

6 divided by x squared​

Answers

Answer:

I think x should be equal to 0.

i'd appreciate someones help !!!

Solve for angles x, y, and z. In the answer choices, the first number is for angle x. The second number is for angle y.
The third number is for angle z.
A)
65, 65, 65
B)
65, 115,65
C)
115, 65, 115
D)
115, 115, 115

Answers

I think its C sorry if its wrong

I need help on my homework.

Answers

Answer:

[tex] \frac{3}{4} > \frac{ - 2 + 2x}{4} \\ \\ (4 \times) \frac{3}{4} > \frac{ - 2 + 2x}{4} ( \times 4) \\ \\ 3 > - 2 + 2x \\ \\ 3 + 2 > - 2 + 2 + 2x \\ \\ 5 > 2x \\ \\ 5 \div 2 > 2x \div 2 \\ \\ \frac{5}{2} > x \\ \\ x < \frac{5}{2} [/tex]

I hope I helped you^_^

Help Will give Branliest

Answers

They Y intercept is 1

Answer asap! Need help before I go to sleep.

Answers

Answer:

Step-by-step explanation:

Parallel lines have identical slopes

4x - 7y = 9

7y = 4x - 9

y = (4/7)x - 9/7

so the parallel line has form

y = (4/7)x + b

plug in the point on the line

3 = (4/7)7 + b

b = -1

y = (4/7)x - 1

As you did not tell us where you live and what time you intend to go to bed, we have NO way of knowing your actual deadline

The game starts as follows. You pick one medal without unwrapping it, and then the game host unwraps one of the remaining medals and reveals that it is a silver medal. (Assume here that the host unwraps a medal with equal probability, but knowing where the gold medal was and avoiding unwrapping the gold medal if still on the table, to keep the game interesting to watch until the end.) You have now three medals left to unwrap (one in your hand, two on the table). At this point, the host gives you the option to change your mind and swap your medal for one of the two left on the table. What would you do at this point? Would you keep your medal, or swap it with one of the two medals left on the table? If so, which one?

Answers

Answer:

I'd swap with one on the table (the left one) but with my luck it would be a sword made of rubber

Suppose you select 4 skittles at random from the bowl. What is the proba- bility exactly 1 of those skittles is green

Answers

Answer:

1/4

Step-by-step explanation:

4 skittles and one being green

Answer:

4/5

Step-by-step explanation:

According to the Wrigley's Consumer Care Department, the fruit candies are produced in equal proportions— 20% of each of the five colors (green, red, orange, yellow, and purple). However, although these candies are made in equal proportions, the individual Skittles bags are filled by weight and by machines but on average I'd say 4/5 chance its a green.

Which of the following cannot be used to prove that two triangles are congruent?

A.AAA
B.ASA
C.SSS
D.HL

Answers

Answer:

A

Step-by-step explanation:

:)

hope it helps

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